Question content area the calculation for annual depreciation using the units-of-output method is:________

Answer:

<YMX=33 degrees

Step-by-step explanation:

<YMX=<YMW---<WMX

         =90-57

         =33

Answer:

Option D:  <YMX = 33°

Step-by-step explanation:

Given that < WMX = 57°, and <WMY = 90°,  then:

< YMX = < WMY - < WMX

< YMX = 90° - 57°

< YMX = 33°

The arc AB in degrees is equal to \((2π*11.5)/360,\) which is equal to 1.04 radians. In degrees, this is equal to 59.7 degrees, which can be rounded to 59.8 degrees.

The length of the arc in degrees can be calculated by taking the ratio of the circumference of the circle to the total circumference of the circle. The circumference of the circle is equal to 2π times the radius, and the total circumference of the circle is equal to 360 degrees. Therefore, the ratio of the arc AB to the circumference of the circle is equal to the arc AB in degrees divided by 360. The radius of the circle is equal to half the diameter, so the radius of the circle is equal to 11.5 meters. Therefore, the arc AB in degrees is equal to (2π*11.5)/360, which is equal to 1.04 radians. In degrees, this is equal to 59.7 degrees, which can be rounded to 59.8 degrees.

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Answer:

The equation of the line is, y = x

Step-by-step explanation:

The constraints of the required linear equation are;

The point through which the line passes = (2, 2)

The line to which the required line is parallel = y = x + 4

Two lines are parallel if they have the same slope, therefore, we have;

The slope of the line, y = x + 4 is m = 1

Therefore, the slope of the required line = 1

The equation of the required lime in point and slope form becomes;

y - 2 = 1 × (x - 2)

∴ y = x - 2 + 2 = x

The equation of the required line is therefore, y = x

Answer:

4

Step-by-step explanation:

y=mx+b m is the slope m=4

Answer:

The slope is 4

Step-by-step explanation:

If this helps may i plz have brainliest :)

Hi!

I can help you with joy!

Answer:

Yes, (2,12) is a solution of the equation y=6x.

Hope it helps.

Do comment if you have any queries regarding my answer.

~Misty~

Answer:

1.)

A=3

B=-6

2.)

1

3.)

(1,10)

Answer:

1.  Identify the values of a and b.            

a =  

✔ 3

and b =

✔ –6

2.   Find the x-coordinate of the vertex.

negative StartFraction b Over 2 a EndFraction  =

✔ 1

3.  Find the y-coordinate by evaluating the function at the x-value found in the previous step.

The vertex is

✔ (1, 10)

Answer:

distance = 5 units

Step-by-step explanation:

we can calculate the distance d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

with (x₁, y₁ ) = (0, 0 ) and (x₂, y₂ ) = (3, 4 )

d = \(\sqrt{(3-0)^2+(4-0)^2}\)

  = \(\sqrt{3^2+4^2}\)

  = \(\sqrt{9+16}\)

   = \(\sqrt{25}\)

   = 5

Formula to find the distance between two points is given by -

\( \small \underline{ \boxed{ \sf{ \pmb{ Distance = \sqrt{ (y_2 -y_1)^2 + (x_2-x_1)^2}}}}}\\\)

As per question, points are -

On substituting the values :-

\(\: \: \: \: \: \longrightarrow \sf {Distance(XQ) = \sqrt{ (0-4)^2 + (0-3)^2 }}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ (-4)^2 + (-3)^2 }}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = \sqrt{ 16+9}}\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance (XQ)= \sqrt{ 25} }\\\)

\(\: \: \: \: \:\longrightarrow \sf {Distance(XQ) = 5}\\\)

\( \: \: \: \: \:\longrightarrow \boxed{ \tt{ \pmb{ \red{Distance(XQ) = 5 }}}}\\\)

\( \\ \therefore \underline{ \cal{ \pmb{The \:distance \: of \: the\: two \:points \: is \: \frak{\purple{ 5.} }}}}\\\)

y" + 2y + (x + 1)y = 0, y(0) = 0, y(9) = 0

Let us find the eigenvalues and eigenfunctions for the given boundary-value problem.

Eigenvalues and eigenfunctions We know that the boundary-value problem has an eigenfunction of the form y = eλx and, therefore, we have to find the eigenvalues λ such that the boundary conditions are satisfied.

λ2 + 2λ + (x + 1) = 0

λ = -1 ± √(1 - x)

1 + √(1 - x) and -1 - √(1 - x)

y(x) = c1 e(-1+√(1-x))x + c2 e(-1-√(1-x))x

Note: Since there are two roots, we need to find two eigenfunctions that satisfy the given boundary conditions.y(0) = c1 + c2 = 0y(9) = c1 e(-1+√(1-9))9 + c2 e(-1-√(1-9))

9 = 0c1 + c2 = 0c1 e(-1+√(1-9))9 + c2 e(-1-√(1-9))

9 = 0c1 = -c2Putting c1 = -c2,

c1 e(-1+√(1-9))9 + c2 e(-1-√(1-9))

9 = 0c1 e8 + c2 e-8 = 0c1 = c2 e16c2 e16 e8 + c2 e-8 = 0c

2(e16 e8 + e-8) = 0c2 = 0  c1 = 0 and c2 = 0

y1(x) = e(-1+√(1-x))x, λ1 = -1 + √(1 - x)y2(x) = e(-1-√(1-x))x,

λ2 = -1 - √(1 - x)

The given function is given as:Y(k)= e sin

Frit 9n=1, 2, 3,..., n-1, 2, 3,...

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Magnitude of the resultant vector = 31.3 lb and  Angle of the resultant vector = 23.3o are  the magnitude of the resultant force and the angle .

what is magnitude of forces?

a = 26 lb

Angle made by the vector 'a' = θ1 = 45o

Component of vector 'a' in the X-direction = ax = aCosθ1 = (26)Cos(45) = 18.38 lb

Component of vector 'a' in the Y-direction = ay = aSinθ1 = (26)Sin(45) = 18.38 lb

b = 12 lb

Angle made by the vector 'b' = θ2 = 30o

Component of vector 'b' in the X-direction = bx = bCosθ2 = (12)Cos(30) = 10.39 lb

Component of vector 'b' in the Y-direction = by = -bSinθ2 = -(12)Sin(30) = -6 lb

Let the resultant vector be 'c'

Component of vector 'c' in the X-direction = cx

cx = ax + bx

cx = 18.38 + 10.39

cx = 28.77 lb

Component of vector 'c' in the Y-direction = cy

cy = ay + by

cy = 18.38 + (-6)

cy = 12.38 lb

c=104)2 + (cy)

c= (28.77)2 + (12.38)2

c = 31.3 lb

Angle made by vector 'c' = θ

Tanθ =

Tanθ = 12.38 28.77

θ = 23.3o

a) Magnitude of the resultant vector = 31.3 lb

b) Angle of the resultant vector = 23.3o

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THE COMPLETE QUESTION IS  -

Find the magnitude of the resultant force and the angle it makes with the positive x-axis. (Let a = 26 lb and b = 12 lb. Round your answers to one decimal place.)

Answer:

24%

Step-by-step explanation:

Since we know that the probability that he WILL make it is 0.76, all that is necessary is to subtract the probability that he will make it from the absolute possibility.

1 - 0.76 = 0.24

Answer:

-3/5x

Step-by-step explanation:

It is a negative slope and use rise over run

Answer:

My friend's mower will take approximately 0.75 h to mow the lawn alone.

Step-by-step explanation:

To solve this problem we can use the idea of average speed and apply to this problem, using the appropriate formula shown below:

\(speed = \frac{distance}{time}\)

Where each lawn mower has a speed at which they can mown, the distance is the lawn they're mowing and the time is how long they will take to do it. In the case where my equipment is working alone, its speed "x" can be modeled as below:

\(x = \frac{lawn}{1.5}\)

When my friend's mower does the job, its speed "y" can be seen as:

\(y = \frac{lawn}{time}\)

When both work together the speed can be seen as:

\(x + y = \frac{lawn}{0.5}\)

Applying the first two equations on the second, gives us:

\(\frac{lawn}{1.5} + \frac{lawn}{time} = \frac{lawn}{0.5}\\\frac{1}{time} = \frac{1}{0.5} - \frac{1}{1.5}\\\frac{1}{time} = 2 - 0.667\\\frac{1}{time} = 1.333\\1.333*time = 1\\time = \frac{1}{1.333} = 0.75\)

My friend's mower will take approximately 0.75 h to mow the lawn alone.

Adding 16 to the given equation we get:

Simplifying the above result we get:

Dividing the above equation by 7 we get:

Simplifying the above result we get:

Answer:

Answer:

Step-by-step explanation:

7x-16=-2how do i find the solution of x

7x - 16 = -2

7x = - 2 + 16

7x = 14

x = 14 : 7

x = 2

-------------------------------

check

7 × 2 - 16 = -2               (remember PEMDAS)

14 - 16 = -2

-2 = -2

the answer is good

Answer:

\(126.87^{\circ}, 180^{\circ}\)

Step-by-step explanation:

The explanation is attached below.

The number of followers Rita has is 13086.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The number of followers Rida has = 6,218

92 people stop following Rida's blog.

This means,

6218 - 92 = 6126

417 people start following Rida's blog.

This means,

6126 + 417 = 6543

The number of followers doubles.

This means,

6543 x 2 = 13086

Thus,

The number of followers Rita has is 13086.

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Answer:

85.3 secs

Step-by-step explanation:

Liam reached first.

his bro = 78.6+6.7=85.3 secs

Answer:

answer is 4.3

Step-by-step explanation:

i only have answer

Gwenivere traveled 8.96875 miles to get to the concert.

To determine how far Gwenivere traveled to get to the concert, we need to convert all the measurements to the same unit of distance.

We'll convert 1,947 feet to miles so that we can add it to the other distances.

Given Gwenivere drives 5.2 miles to get to a train station Rides the train 2.4 miles Walks 1,947 feet to get to the concert .

Converting 1,947 feet to miles:

1 mile = 5,280 feet So, 1,947 feet = 1,947/5,280 miles = 0.36875 miles.

Now we can add all the distances together to get the total distance she traveled:

Total distance = 5.2 + 2.4 + 0.36875 miles

Total distance = 8.96875 miles .

Therefore, Gwenivere traveled 8.96875 miles to get to the concert.

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The probability is 1/17

From the question, we have

The probability of getting a diamond in the first draw is 13/52 due to the 52 cards available. There are only 12 diamonds left after the first card is dealt. Since there is no replacement, there are only 51 cards left after the first card is drawn, the likelihood of drawing the diamond is now 12/51.

Probability (P) = 13/52*12/51

=1/4*4/17

=1/17

Probability:

Possibility is referred to as probability. This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Probability has been applied into mathematics to predict the likelihood of different events. Probability generally refers to the degree to which something is likely to occur. This fundamental theory of probability, which also applies to the probability distribution, can help you comprehend the possible outcomes for a random experiment. Gonna determine how likely something is to occur, use probability. Many things are hard to predict with 100% certainty. We can only anticipate the possibility of an event occurring using it, or how likely it is.

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Answer:

24429.02

Step-by-step explanation:

Seven hundred and twenty-five thousand two hundred and thirteen

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the wall. The straight line distance from the bottom of the window to the ground forms the opposite side. The distance from the bottom of the ladder to the house represents the adjacent side. To determine the required length of the wire, c, we would Pythagorean theorem which us expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

c² = 6² + 5² = 36 + 25 = 61

c = √61 = 7.81 ft

Answer:

To multiply 0.12 x 0.4, first you need to write the numbers in standard form. 0.12 can be written as 0.120 and 0.4 can be written as 0.400.

Then, multiply the numbers by first multiplying the digits in the ones column, then the digits in the tenths column and finally the digits in the hundredths column.

This is done by multiplying the first digit in the first number (1) with the first digit in the second number (4), then multiplying the second digit (2) with the second digit (0), and finally multiplying the third digit (0) with the third digit (0).

Therefore, the multiplication can be written as:

1 x 4 = 4 2 x 0 = 0 0 x 0 = 0

Adding these three numbers together gives us 0.048, which is the answer to 0.12 x 0.4.

Step-by-step explanation:

Area of circle = 2πr²

diameter = 14 cm

so,

after inserting values in the formula we got,

2 × 22/7 × 14

→ 2 × 22 × 2 = 44 × 2 = 88 cm²

hence, area of the circle is 88cm²

hope this answer helps you dear

Answer:

First, remember the relation:

Distance = Speed*Time.

We know that the distance is 120mi.

A) For the biker we know that:

Time  = 8hours.

Speed = Distance/Time = 120mi/8h = 15 mi/h.

B) For the bus we know that:

Time = 2 hours.

Speed = Distance/Time = 120mi/2h = 60 mi/h.

C) For the truck we know that:

Time = 2.5 hours.

Speed = Distance/Time = 120mi/2.5h = 48 mi/h.

D) For the rider on a horse we know that:

Time = 18.75 hours.

Speed = Distance/Time = 120mi/18.75h = 6.4 mi/h.

E) The equation for the speed is:

Speed = Distance/Time.

You can see that time is in the denominator, this means that if for a fixed distance, the time increases, then the denominator increases, which would imply that the speed decreases.

Then the speed is inversely proportional to the time when the distance is fixed.

Answer:

x = 7/6

Step-by-step explanation:

6x+5 = 12

Subtract 5 from each side

6x+5-5 = 12-5

6x = 7

Divide each side by 6

6x/6 = 7/6

x = 7/6

Answer:

x=7/6

Step-by-step explanation:

6x+5 = 12

subract 5 from both sides

6x = 7

divide by 6 on both sides

x=7/6

Answer:

The Speed = 8 miles/hour

Answer: the answer to this is true

Answer:

Circumcenter = (4,0)

Circumcircle = √5

Step-by-step explanation:

The circumcentre is the point of intersection of the perpendicular bisectors of a triangle. The vertices of the triangle are equidistant to the circumcentre.

Let us assume the coordinate of the circumcentre is at O(x, y). Therefore the distance between the cirmcumcenter and the vertices are:

\(AO=\sqrt{(x-2)^2+(y-1)^2} =\sqrt{x^2-4x+4+(y^2-2y+1)}\\=\sqrt{x^2+y^2-4x-2y+5} \\\\BO=\sqrt{(x-5)^2+(y-2)^2} =\sqrt{x^2-10x+25+(y^2-4y+4)}\\=\sqrt{x^2+y^2-10x-4y+29} \\\\CO=\sqrt{(x-3)^2+(y-4)^2} \\=\sqrt{x^2-9x+9+(y^2-8y+16)}=\sqrt{x^2+y^2-9x-8y+25} \\\)

AO = BO, therefore

√(x² + y²-4x-2y+5) = √(x² + y² - 10x - 4y + 29)

x² + y²-4x-2y+5 = x² + y² - 10x - 4y + 29

6x + 2y = 24       (1)

BO = CO

√(x² + y² - 10x - 4y + 29) = √(x² + y² - 9x - 8y + 25)

x² + y² - 10x - 4y + 29 = x² + y² - 9x - 8y + 25

-x + 4y = -4         (2)

Multiply equation 2 by 6 and add to equation 1:

26y = 0

y=0

Put y = 0 in -x + 4y = -4

-x + 4(0) = -4

x = 4

The cicumcenter is at (4, 0)

The radius of the circumcircle = AO = BO = CO. Therefore:

\(Radius=AO=\sqrt{(4-2)^2+(0-1)^2} =\sqrt{4+1}=\sqrt{5}\)

Answer

$835,25

Explanation

Total sales = $6425

Commission = 13%

100%  - $6425

13%     -  x

13 * 6425 = 83525

83525 \ 100 = 835,25